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Finding the Fourth Proportional to 292,189.83, 403,228.26 and 161,367.08

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Solution

The fourth proportional to 292,189.83, 403,228.26 and 161,367.08 is: 222,690.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,189.83 : 403,228.26 = 161,367.08 : x
  2. Step 2: Convert to fraction form
    292,189.83/403,228.26 = 161,367.08/x
  3. Step 3: Cross multiply
    292,189.83x = 403,228.26 × 161,367.08
  4. Step 4: Simplify right side
    292,189.83x = 65,067,764,873.54
  5. Step 5: Solve for x
    x = 65,067,764,873.54/292,189.83
  6. Step 6: Final answer
    x = 222,690.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.